Question

find the slope of line passing through the points A(2 , 5) B(4 , -1)​

Answer 1

Answer:

The answer is -3

Step-by-step explanation:

Concept: Slope of the line joining the points $(x_1,y_1)$ and $(x_2,y_2)$ is

                                $\boxed{\dfrac{y_2-y_1}{x_2-x_1}}$

Therefore slope of the line passing through the

points A$(2,5)$ and B$(4,-1)$ is

                                         $=\dfrac{-1-5}{4-2}=\dfrac{-6}{2}=-3$

Answer 2

Answer:

The slope of line passing through the points A(2 , 5) B(4 , -1) is -3.

Step-by-step explanation:

Question :

Find the slope of line passing through the points A(2 , 5) B(4 , -1).

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Solution :

The slope of the line passing through the points can be found by using the formula :

${\longrightarrow{\underline{\boxed{\pmb{\sf{m = \dfrac{y_2 - y_1 }{x_2 - x_1 }}}}}}}$

Where :-

• ➝ $\rm{m}$ = slope
• ➝ $\rm{y_2}$ = -1
• ➝ $\rm{y_1}$ = 5
• ➝ $\rm{x_2}$ = 4
• ➝ $\rm{x_1}$ = 2

Substituting all the given values in the formula to find the slope of line passing through the points A(2 , 5) B(4 , -1) :

$\begin{gathered}\qquad{\longrightarrow{\sf{m = \dfrac{y_2 - y_1 }{x_2 - x_1}}}} \\ \\ \qquad{\longrightarrow{\sf{m = \dfrac{( - 1) - (5) }{(4) - (2) }}}} \\ \\ \qquad{\longrightarrow{\sf{m = \dfrac{ - 1 - 5 }{4 - 2 }}}} \\ \\ \qquad{\longrightarrow{\sf{m = \dfrac{ - 6}{2 }}}} \\ \\ \qquad{\longrightarrow{\sf{m = \cancel{\dfrac{ - 6}{2 }}}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{m = - 3}}}}}}\end{gathered}$

∴ The slope of line AB is -3.

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Learn More :

More formulas related to slope :

➝ Standard form = $\rm{Ax + By = C}$

➝ Slope-intercept form = $\rm{y = mx + b}$

➝ Point-Slope form = $\rm{y - {y_1} = m \big( x - x_1 \big)}$

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